Question

Jika f(2x-3) = x^2 - 8x + 16 maka nilai dari f (-1)

Answer 1

F(2x-3)=x²-8x+16
misalkan 2x-3=y
berarti 2x=y+3
x=y+3/2
ganti y jadi x lagi⇒x+3/2

f(x)=(x+3/2)²-8(x+3/2)+16
f(x)= (x² +6x+9/4)-4x+12 +16
f(x)= x²+6x+9/4 -4x +28
f(-1)= (-1)²+6(-1)+9/4 -4(-1)+28
f(-1)= 1-6+9/4+4+28
f(-1)= 4/4 + 32
f(-1)=33
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